Now that the government has reopened, attention turns to the next phase of the spending fight, a battle that is far from over.

The bill that President Obama signed early Thursday provides only a temporary respite to the partisan tussles that have perennially plagued the budget process. The government stays open through Jan. 15 and the federal borrowing authority is safe until Feb. 7. After that, all bets are off.

"We're going back to regular order," he says. "This is the budget process, the House passes a budget, the Senate passes a budget, you come together to try and reconcile the differences. That's the way we're supposed to do things."

"Chairman Ryan knows I'm not going to vote for his budget, I know that he's not going to vote for mine," she says. "We're going to find the common ground between our two budgets that we both can vote on, and that's our goal."

The Washington Post lists the members of the "bipartisan, bicameral group" here.

However, some odds makers are expressing doubt.

CBS Marketwatch says "the committee ... is a disparate group that has some pundits proclaiming low expectations."

" 'We think the chance of reaching a long-term budget deal by December 13 is very slim,' he said in a note. 'Congress has been down this road before; indeed, the sequester was triggered by the failure of the bipartisan budget committee to reach agreement in the fall of 2011. If anything, the positions of the parties have become more entrenched since then.' "